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The polynomial in x of least degree with the roots $$\frac{3}{2}, \frac{2}{3}, \pm \sqrt{3}$$ is
we have given that the root of the polynomonal equationΒ
$$\frac{3}{2}, \frac{2}{3}, \pm$$ \sqrt{3}$$ is mean thatΒ
(x - 3\2 = 0 )Β Β ( x - 2\3 = 0 )Β Β ( x$$Β \pmΒ $$ $$\sqrt{3}$$ = 0 )Β
so we have (3x - 2) (2x - 3) ($$ x^{2}$$ - 3)Β = 0Β is the equation so theΒ
(3x - 2) (2x - 3) ($$ x^{2}$$ - 3) = 0Β Β Β answerΒ
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